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305607040 = 275477511
BaseRepresentation
bin10010001101110…
…011000110000000
3210022001110001021
4102031303012000
51111213411130
650154115224
710400421424
oct2215630600
9708043037
10305607040
11147564102
128641bb14
134b411c8b
142c832b84
151bc6a37a
hex12373180

305607040 has 32 divisors (see below), whose sum is σ = 730593360. Its totient is φ = 122242560.

The previous prime is 305607037. The next prime is 305607041. The reversal of 305607040 is 40706503.

It is a tau number, because it is divible by the number of its divisors (32).

It is a junction number, because it is equal to n+sod(n) for n = 305606996 and 305607014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (305607041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 238116 + ... + 239395.

Almost surely, 2305607040 is an apocalyptic number.

It is an amenable number.

305607040 is an abundant number, since it is smaller than the sum of its proper divisors (424986320).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

305607040 is an equidigital number, since it uses as much as digits as its factorization.

305607040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 477530 (or 477518 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 25.

The square root of 305607040 is about 17481.6200622254. The cubic root of 305607040 is about 673.5778305848.

The spelling of 305607040 in words is "three hundred five million, six hundred seven thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 477511 955022 1910044 2387555 3820088 4775110 7640176 9550220 15280352 19100440 30560704 38200880 61121408 76401760 152803520 305607040